{ "id": "1001.0132", "version": "v1", "published": "2009-12-31T13:05:06.000Z", "updated": "2009-12-31T13:05:06.000Z", "title": "Twisted Alexander polynomials and fibered 3-manifolds", "authors": [ "Stefan Friedl", "Stefano Vidussi" ], "comment": "22pages, 2 figures to be published by the Proceedings of the Georgia International Topology Conference 2009", "categories": [ "math.GT" ], "abstract": "In a series of papers the authors proved that twisted Alexander polynomials detect fibered 3-manifolds, and they showed that this implies that a closed 3-manifold N is fibered if and only if S^1 x N is symplectic. In this note we summarize some of the key ideas of the proofs. We also give new evidence to the conjecture that if $ is a symplectic 4-manifold with a free S^1-action, then the orbit space is fibered.", "revisions": [ { "version": "v1", "updated": "2009-12-31T13:05:06.000Z" } ], "analyses": { "subjects": [ "57M27" ], "keywords": [ "twisted alexander polynomials detect", "symplectic", "orbit space", "conjecture" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 22, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1001.0132F" } } }